Finding the Third Proportional to 114,109 and 178,997

Step by Step Solution

1. Step 1: Write the proportion equation
   114,109 : 178,997 = 178,997 : x
2. Step 2: Convert to fraction form
   114,109/178,997 = 178,997/x
3. Step 3: Cross multiply
   114,109x = 178,997 × 178,997
4. Step 4: Simplify right side
   114,109x = 32,039,926,009
5. Step 5: Solve for x
   x = 32,039,926,009/114,109
6. Step 6: Final answer
   x = 280,783.51